{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ART Black Box Attack on Tesseract"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from __future__ import absolute_import, division, print_function, unicode_literals\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import imageio\n",
    "from matplotlib import pyplot as plt\n",
    "from IPython.display import clear_output\n",
    "import os \n",
    "\n",
    "from art.estimators.classification import BlackBoxClassifier\n",
    "from art.defences.preprocessor import JpegCompression\n",
    "from art.attacks.evasion import HopSkipJump\n",
    "from art.utils import to_categorical"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Make predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# read in images\n",
    "image_target = imageio.imread(os.path.join(os.path.dirname(os.getcwd()), 'utils/data/tesseract', 'dissent.png'))\n",
    "image_init = imageio.imread(os.path.join(os.path.dirname(os.getcwd()), 'utils/data/tesseract', 'assent.png'))\n",
    "\n",
    "# add a channel dimension for jpeg compression\n",
    "image_target = np.expand_dims(image_target, axis=-1)\n",
    "image_init = np.expand_dims(image_init, axis=-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# predict function to call tesseract from the command line and convert\n",
    "# its output to a one-hot encoding\n",
    "def predict(x):\n",
    "    \n",
    "    out_label = []\n",
    "    \n",
    "    for x_i in x:\n",
    "        # save image as intermediate png\n",
    "        imageio.imsave('tmp.png', x_i[:,:,0].astype(np.uint8))\n",
    "\n",
    "        # run tesseract\n",
    "        status = os.system(\"tesseract tmp.png out\")\n",
    "        if status != 0:\n",
    "            raise Exception('Tesseract failed to run.')\n",
    "\n",
    "        # read text\n",
    "        file = open(\"out.txt\",\"r+\") \n",
    "        test = file.read()\n",
    "        out_string = test.strip()\n",
    "\n",
    "        # convert to categorical\n",
    "        if out_string == 'dissent':\n",
    "            out_label.append(0)\n",
    "        elif out_string == 'assent':\n",
    "            out_label.append(1)\n",
    "        else: \n",
    "            out_label.append(2)\n",
    "    \n",
    "    return to_categorical(out_label, 3)\n",
    "\n",
    "# init black box object\n",
    "classifier = BlackBoxClassifier(predict, image_target.shape, 3, clip_values=(0, 255))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "label_dict = {0: 'dissent', 1: 'assent', 2: 'other'}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tesseract output is: dissent\n"
     ]
    }
   ],
   "source": [
    "# this is the image we want to target\n",
    "plt.imshow(image_target[:,:,0])\n",
    "plt.show()\n",
    "print('Tesseract output is: ' + label_dict[np.argmax(classifier.predict(np.array([image_target], dtype=np.float32)))])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tesseract output is: assent\n"
     ]
    }
   ],
   "source": [
    "# this is the label we want to perturb to\n",
    "plt.imshow(image_init[:,:,0])\n",
    "plt.show()\n",
    "print('Tesseract output is: ' + label_dict[np.argmax(classifier.predict(np.array([image_init], dtype=np.float32)))])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Attack using HopSkipJump"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adversarial image at step 0. L2 error 7213.825 and Tesseract output assent.\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adversarial image at step 30. L2 error 4220.758 and Tesseract output assent.\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adversarial image at step 60. L2 error 3997.406 and Tesseract output assent.\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adversarial image at step 90. L2 error 3947.9297 and Tesseract output assent.\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adversarial image at step 120. L2 error 3922.5515 and Tesseract output assent.\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adversarial image at step 150. L2 error 3794.534 and Tesseract output assent.\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "attack = HopSkipJump(classifier=classifier, targeted=True, norm=2, max_iter=0, max_eval=1000, init_eval=10)\n",
    "iter_step = 10\n",
    "x_adv = np.array([image_init], dtype=np.float32)\n",
    "for i in range(16):\n",
    "    x_adv = attack.generate(x=np.array([image_target], dtype=np.float32), x_adv_init=x_adv, y=to_categorical([1], 3))\n",
    "\n",
    "    #clear_output()\n",
    "    if i%3 == 0:\n",
    "        print(\"Adversarial image at step %d.\" % (i * iter_step), \"L2 error\", \n",
    "              np.linalg.norm(np.reshape(x_adv[0] - image_target, [-1])),\n",
    "              \"and Tesseract output %s.\" % label_dict[np.argmax(classifier.predict(x_adv)[0])])\n",
    "        plt.imshow(x_adv[0,:,:,0])\n",
    "        plt.show(block=False)\n",
    "\n",
    "    attack.max_iter = iter_step"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Defend Classifier Using Jpeg Compression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "jpeg = JpegCompression(clip_values=(0, 255), channels_first=False)\n",
    "classifier_def = BlackBoxClassifier(predict, image_target.shape, 3, clip_values=(0, 255),\n",
    "                                    preprocessing_defences=[jpeg])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tesseract output is: dissent\n"
     ]
    }
   ],
   "source": [
    "# this is the image we want to target\n",
    "plt.imshow(image_target[:,:,0])\n",
    "plt.show()\n",
    "print('Tesseract output is: ' + label_dict[np.argmax(classifier_def.predict(np.array([image_target], dtype=np.float32)))])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tesseract output is: assent\n"
     ]
    }
   ],
   "source": [
    "# this is the label we want to perturb to\n",
    "plt.imshow(image_init[:,:,0])\n",
    "plt.show()\n",
    "print('Tesseract output is: ' + label_dict[np.argmax(classifier_def.predict(np.array([image_init], dtype=np.float32)))])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Attack Defended Classifier Using HopSkipJump"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adversarial image at step 0. L2 error 7213.825 and Tesseract output assent.\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adversarial image at step 30. L2 error 4201.479 and Tesseract output assent.\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adversarial image at step 60. L2 error 3841.222 and Tesseract output assent.\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adversarial image at step 90. L2 error 3598.9988 and Tesseract output assent.\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adversarial image at step 120. L2 error 3490.935 and Tesseract output assent.\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adversarial image at step 150. L2 error 3354.4868 and Tesseract output assent.\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "attack = HopSkipJump(classifier=classifier_def, targeted=True, norm=2, max_iter=0, max_eval=1000, init_eval=10)\n",
    "iter_step = 10\n",
    "x_adv = np.array([image_init], dtype=np.float32)\n",
    "for i in range(16):\n",
    "    x_adv = attack.generate(x=np.array([image_target], dtype=np.float32), x_adv_init=x_adv, y=to_categorical([1], 3))\n",
    "\n",
    "    #clear_output()\n",
    "    if i%3 == 0:\n",
    "        print(\"Adversarial image at step %d.\" % (i * iter_step), \"L2 error\", \n",
    "              np.linalg.norm(np.reshape(x_adv[0] - image_target, [-1])),\n",
    "              \"and Tesseract output %s.\" % label_dict[np.argmax(classifier_def.predict(x_adv)[0])])\n",
    "        plt.imshow(x_adv[0,:,:,0])\n",
    "        plt.show(block=False)\n",
    "\n",
    "    attack.max_iter = iter_step"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
